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Finding the Third Proportional to 488,533 and 1,076,455

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Solution

The third proportional to 488,533 and 1,076,455 is: 2,371,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,533 : 1,076,455 = 1,076,455 : x
  2. Step 2: Convert to fraction form
    488,533/1,076,455 = 1,076,455/x
  3. Step 3: Cross multiply
    488,533x = 1,076,455 × 1,076,455
  4. Step 4: Simplify right side
    488,533x = 1,158,755,367,025
  5. Step 5: Solve for x
    x = 1,158,755,367,025/488,533
  6. Step 6: Final answer
    x = 2,371,908.07

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.